Maximal subgroups of the orthogonal group |
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Authors: | Stephen Pierce |
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Affiliation: | (1) Department of Mathematics, University of Toronto, M5S 1A1 Toronto, Canada |
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Abstract: | Let V be an n-dimensional regular quadratic space over a field K of characteristic not 2. Assume n 4. Let W be a regular hyperplane and v a nonzero vector orthogonal to W. Suppose every regular hyperplane in W is universal. If is an isometry of V not leaving W invariant, then , together with the isometries of W, generate the orthogonal group of V, with one exception.The work of the author was partially supported by NSERC Grant A-7862. |
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